Question

Can you prove these triangles are congruent from the information given?

Answer 1

Given:

Give names to the triangles

Aim:

We need to find whether these triangles are congruent.

Step-by-step explanation:

The lines AE and DC are perbenticular.

`\angle ABC\cong\angle\angle DBE\text{ since perpendicular lines makes right angles.}`

Recall that the dashes on the lines show they are equal in length.

`BC\cong BD\text{ Since both sides have single dashes.}`

`AC\cong DE\text{ Since both sides have double dashes.}`

Two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.

`\Delta ABC\cong\Delta DBE\text{ by SSA postulates}`

Final answer:

The triangles ABC and DBE are congruent.